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Exercise

$\left(a+b\right)+\left(x-y\right)\left(a+b\right)-\left(x-y\right)$

Step-by-step Solution

1

Simplify the product $-(x-y)$

$a+b+\left(x-y\right)\left(a+b\right)-x+y$
2

Multiply the single term $a+b$ by each term of the polynomial $\left(x-y\right)$

$a+b+x\left(a+b\right)-y\left(a+b\right)-x+y$
3

Multiply the single term $x$ by each term of the polynomial $\left(a+b\right)$

$a+b+ax+bx-y\left(a+b\right)-x+y$
4

Multiply the single term $-y$ by each term of the polynomial $\left(a+b\right)$

$a+b+ax+bx-ay-by-x+y$

Final answer to the exercise

$a+b+ax+bx-ay-by-x+y$

Try other ways to solve this exercise

  • Choose an option
  • Product of Binomials with Common Term
  • FOIL Method
  • Find the integral
  • Find the derivative
  • Factor
  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
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Similar Questions Solved

$\left(x+2\right)\left(x+3\right)$

$\left(2+\sqrt{y}\right)\left(2-\sqrt{y}\right)$

$\left(6x-5\right)\left(2x+3\right)$

$4\left(4a+5\right)$

$\left(5x+2y\right)\left(5x-2y\right)$

$\left(2x+6\right)^2$

$\left(x-6\right)\left(x-5\right)$

Main Topic: Special Products

Special products is the multiplication of algebraic expressions that follow certain rules and patterns, so you can predict the result without necessarily doing the multiplication.

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